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Finding the Fourth Proportional to 7,495.77, 10,344.09 and 4,138.51

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Solution

The fourth proportional to 7,495.77, 10,344.09 and 4,138.51 is: 5,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.77 : 10,344.09 = 4,138.51 : x
  2. Step 2: Convert to fraction form
    7,495.77/10,344.09 = 4,138.51/x
  3. Step 3: Cross multiply
    7,495.77x = 10,344.09 × 4,138.51
  4. Step 4: Simplify right side
    7,495.77x = 42,809,148.36
  5. Step 5: Solve for x
    x = 42,809,148.36/7,495.77
  6. Step 6: Final answer
    x = 5,711.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.